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Pouring water V.


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#1 rookie1ja

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Posted 30 March 2007 - 06:03 PM

Pouring water V. - Back to the Water and Weighing Puzzles
Measure exactly 2 liters of water if you have:
1. 4 and 5-liter bowls
2. 4 and 3-liter bowls

This old topic is locked since it was answered many times. You can check solution in the Spoiler below.
Pls visit New Puzzles section to see always fresh brain teasers.


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#2 fosley

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Posted 09 May 2007 - 12:51 AM

You can solve both sets of buckets from both small-to-big and big-to-small. The green water is your solution, and the blue water is the alternate solution. My first solutions were the green solution for the 5/4 set and the blue solution for the 4/3 set. In both cases, your solution is faster, but I thought it interesting to note that you can do it either way.

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#3 rookie1ja

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Posted 09 May 2007 - 07:18 PM

Good picture - speaks more than a thousand words
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#4 coolastro1016

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Posted 11 June 2007 - 03:06 AM

fill the 5 liter up and pour it in the 3 liter. The over flow is 2 liters.
There are many ways to solve this one.
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#5 islek2007

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Posted 20 June 2007 - 04:41 PM

coolastro1016,
im new here but the problem clearly states two different problems so using the 5 and 3 liters is impossible since they arent on the same problem together
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#6 geekygirl

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Posted 20 August 2007 - 06:05 PM

Both cases have a 4 litre bucket. If you fill the bucket and then slowly empty it until the water is touch just touching one side of the top and is just barely touching all of the bottom, you have the bucket half filled and therefore 2 litres. Basically, picture cutting the bucket diagonally.
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#7 Martini

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Posted 28 August 2007 - 05:08 AM

Both cases have a 4 litre bucket. If you fill the bucket and then slowly empty it until the water is touch just touching one side of the top and is just barely touching all of the bottom, you have the bucket half filled and therefore 2 litres. Basically, picture cutting the bucket diagonally.


Excellent answer! Almost all buckets are symmetrical, so this will work.
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#8 skbrown

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Posted 10 September 2007 - 02:49 PM

Both cases have a 4 litre bucket. If you fill the bucket and then slowly empty it until the water is touch just touching one side of the top and is just barely touching all of the bottom, you have the bucket half filled and therefore 2 litres. Basically, picture cutting the bucket diagonally.


Er, most buckets are tapered, aren't they?, and so this would not work at all. Or have I misunderstood your suggestion?
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#9 Martini

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Posted 12 September 2007 - 06:27 PM


Both cases have a 4 litre bucket. If you fill the bucket and then slowly empty it until the water is touch just touching one side of the top and is just barely touching all of the bottom, you have the bucket half filled and therefore 2 litres. Basically, picture cutting the bucket diagonally.


Er, most buckets are tapered, aren't they?, and so this would not work at all. Or have I misunderstood your suggestion?


You haven't misunderstood; you're just under the assumption that skbrown's solution won't work with a tapered bucket. It will, as long as it's symmetrical.
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#10 hoopshank

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Posted 23 September 2007 - 01:25 AM



Both cases have a 4 litre bucket. If you fill the bucket and then slowly empty it until the water is touch just touching one side of the top and is just barely touching all of the bottom, you have the bucket half filled and therefore 2 litres. Basically, picture cutting the bucket diagonally.


Er, most buckets are tapered, aren't they?, and so this would not work at all. Or have I misunderstood your suggestion?


You haven't misunderstood; you're just under the assumption that skbrown's solution won't work with a tapered bucket. It will, as long as it's symmetrical.



This is not true! If it were a cylinder it would work. If it's tapered, it will not. Consider the extreme example of a bucket tapered to a point - you get a cone. How do you know when to stop pouring? Besides, we have BOWLS not buckets, which suggests an entirely different shape to me. Symmetrical or not, this method does not work with standard bowl or bucket shapes.
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